# Faster quantum computation with permutations and resonant couplings

## TL;DR

This paper introduces a new quantum computation scheme that combines permutations, resonant couplings, and decoherence-free subspaces to enhance speed and error robustness.

## Contribution

It proposes a novel approach integrating permutations and resonant couplings within decoherence-free subspaces to optimize quantum computation speed.

## Key findings

- Potentially faster quantum computation scheme
- Enhanced robustness against errors in decoherence-free subspaces
- Integration of permutations with resonant couplings

## Abstract

Recently, there has been increasing interest in designing schemes for quantum computations that are robust against errors. Although considerable research has been devoted to developing quantum error correction schemes, much less attention has been paid to optimizing the speed it takes to perform a quantum computation and developing computation models that act on decoherence-free subspaces. Speeding up a quantum computation is important, because fewer errors are likely to result. Encoding quantum information in a decoherence-free subspace is also important, because errors would be inherently suppressed. In this paper, we consider quantum computation in a decoherence-free subspace and also optimize its speed. To achieve this, we perform certain single-qubit quantum computations by simply permuting the underlying qubits. Together with exchange-interactions or Ising-interactions and other resonant couplings, we present a new scheme for quantum computation that potentially improves the speed in which a quantum computation can be done.